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A galvanometer of resistance $G$ is converted into a voltmeter of range $0 - 1 V$ by connecting a resistance $R_{1}$ in series with it. The additional resistance that should be connected in series with $R_{1}$ to increase the range of the voltmeter to $0 - 2 V$ will be:

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$R_{1} + G$

$R_{1}$

$R_{1} - G$

$G$

answer is D.

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Detailed Solution

$\begin{array}{l} {Case 1 : i}_{G} (R_{1} +G) =1 \\ \begin{array}{l} C a s e 2 : i_{G} (R_{1} +x+G) =2 \\ \Rightarrow {x = R}_{1} +G \end{array} \end{array}$

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